Pith Number

pith:SR6R5NXQ

pith:2012:SR6R5NXQHHCEVOYQZJIUNGN3VU

not attested not anchored not stored refs pending

Near-Optimal Multi-Unit Auctions with Ordered Bidders

Elias Koutsoupias, Stefano Leonardi, Tim Roughgarden

arxiv:1212.2825 v1 · 2012-12-12 · cs.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SR6R5NXQHHCEVOYQZJIUNGN3VU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:38:35.244308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

947d1eb6f039c44abb10ca514699bbad0216f77589feb0e8a5a93b6289715268

Aliases

arxiv: 1212.2825 · arxiv_version: 1212.2825v1 · doi: 10.48550/arxiv.1212.2825 · pith_short_12: SR6R5NXQHHCE · pith_short_16: SR6R5NXQHHCEVOYQ · pith_short_8: SR6R5NXQ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/SR6R5NXQHHCEVOYQZJIUNGN3VU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 947d1eb6f039c44abb10ca514699bbad0216f77589feb0e8a5a93b6289715268

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21f1e2ca3d353585df9bbdb92196f94dd1b990d9ae8c27f69b60ffb7036ee962",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2012-12-12T14:14:40Z",
    "title_canon_sha256": "da3792e2fc8b88a4ad62add167c6bff5aa6aea462df05847b43d613a50393252"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2825",
    "kind": "arxiv",
    "version": 1
  }
}